SOLUTION: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular blanket is 20 inches longer than it is wide. If the area of th

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Question 283203: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular blanket is 20 inches longer than it is wide. If the area of the blanket is 1,125 square inches, find the length and the width.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the width be x
Then the length will be x+20 inches
Area of rectangle = L * W
Area of carpet = 1125 sq. inches
1125 = x*(x+20)
1125 = x^2 +20x
x^2+20x-1125=0
x^2+45x-25x-1125=0
x(x+45)-25(x+45)=0
(x+45)(x-25)=0
x= -45 or 25
so width = 25 inches
Length = 45